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Courses in Discrete and Computational Geometry – János Pach & Géza Tóth – 1st Edition 2026 | Discrete & Computational Geometry

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In the Fall of 2023, the Erdős Center (Budapest) hosted a special semester on ”Discrete Geometry and Convexity”, which brought together some of the strongest experts in the field and many outstanding young researchers. The program featured intensive one-week mini-courses during a Summer School, followed by conferences and workshops presenting cutting-edge research. Part I of the present volume includes the notes of three lecture series on (1) approximation in discrete geometry, (2) random polytopes, and (3) a structure theory for graphs embedded in the plane. Part II starts with a classic: Matoušek’s until now unpublished elegant lecture notes concerning the algorithmic complexity of recognizing intersection graphs of segments and some other geometric objects. It is complemented by the first systematic and comprehensive survey of the corresponding complexity class: the existential theory of reals. This volume will be a valuable resource for graduate students, young researchers, and experts in related fields interested in discrete and computational geometry

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Bolyai Society Mathematical Studies 31




János Pach
Géza Tóth Editors

Courses in Discrete
and Computational
Geometry

,Bolyai Society Mathematical Studies

Volume 31


Editor-in-Chief
János Pach, EPFL, Lausanne, Switzerland
HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary

Series Editor
Gergely Ambrus, University of Szeged, Szeged, Hungary
HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary

Editorial Board
Zoltán Buczolich, ELTE Eötvös Loránd University, Budapest, Hungary
Lajos Hajdu, University of Debrecen, Debrecen, Hungary
Lajos Molnár, University of Szeged, Szeged, Hungary
Budapest University of Technology and Economics, Budapest, Hungary
László Lovász, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest,
Hungary
Péter Pál Pálfy, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest,
Hungary
András Stipsicz, HUN-REN Alfréd Rényi Institute of Mathematics, Budapest,
Hungary
Bálint Tóth, University of Bristol, United Kingdom
HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary

,This series will typically consist of survey volumes. It may also include conference
proceedings and monographs.

, János Pach · Géza Tóth
Editors




Courses in Discrete
and Computational Geometry

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